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How do you solve 1/3y=7/3x+5/3 and x-3y=5 using subtitution

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Answer: x=−1 and y=−2y=−2

Explanation:

Solve one of the equations for one variable in terms of the other. solve the first equation for y:13y=73x+5331​y=37​x+35​Multiply both sides by 3 to eliminate the fraction:y=7x+5y=7x+5Substitute the expression you found for yyinto the other equation. In this case, substitute 7x+57x+5for yyin the second equation:x−3(7x+5)=5x−3(7x+5)=5Simplify and solve for xx:x−21x−15=5x−21x−15=5Combine like terms:−20x−15=5−20x−15=5Add 15 to both sides:−20x=20−20x=20Divide by -20:x=−1x=−1Substitute the value of xxback into the expression you found for yy: y=7(−1)+5y=7(−1)+5y=−2y=−2

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